Is it possible to teach Business English with a CELTA qualification, or is there another qualification that is business centered? I am considering teaching Business English but don't know if i am eligible too. Feel free to share your two cents. Thanks.

Yes, most people who teach business English don't have specific qualifications. If you have any suitable education (e.g. O Level Business Studies in my case), work experience in business, or interests (e.g. regularly read the Economist), it's worth putting them on your CV. There are also some very good courses on the topic. See this Courses in Teaching Business English FAQ.